6 791 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
248207439687089	15	47.8	old
3693009983350752223	19	61.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	2507 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	3B7AE6888E457D4B	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	3B7AE6888E457D4B	2	4721	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9755D877DA0F0D3E	2	1441	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	9755D877DA0F0D3E	2	4944	5	3

History

Date	User	Type	Result
2025-03-22	masser	NF-PP1	Start=135/13, B1=1000000000, B2=999000000000
2025-03-14	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-06	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6791/248207439687089/3693009983350752223 : 9755D877DA0F0D3E
2023-08-14	-anonymous-	NF-PM1	B1=36000000000, B2=144600212653396500
2021-12-14	ANONYMOUS	NF-PM1	B1=1000000, B2=21661893953700
2020-04-17	Oliver Kruse	C-PRP	M6791/248207439687089/3693009983350752223 : 9755D877DA0F0D3E
2017-10-12	kkmrkkblmbrbk	C-PRP	M6791/248207439687089/3693009983350752223 : 3B7AE6888E457D4B
2017-09-21	Oliver Kruse	C-PRP	M6791/248207439687089/3693009983350752223 : 3B7AE6888E457D4B
2017-09-21	Oliver Kruse	C-PRP	M6791/248207439687089/3693009983350752223 : 3B7AE6888E457D4B
2009-10-25	Carsten Kossendey	F	Factor: 3693009983350752223
1999-04-23	-anonymous-	F-PM1	Factor: 248207439687089